Maxwell's Thermodynamic Surface

ideal gas

U=

\frac{0.75 N^{\frac{5}{3}} h^{2} ⅇ^{\frac{2 S - 5}{3 N k_{B}}}}{V^{\frac{2}{3}} m π}

U=

\frac{0.75 N^{\frac{5}{3}} h^{2} ⅇ^{- \frac{5}{3} + \frac{2 S}{3 N k_{B}}}}{m π {(- N b + V)}^{\frac{2}{3}}} - \frac{1.0 N^{2} a}{V}

U=

\frac{0.375 N^{\frac{5}{3}} h^{2} ⅇ^{- \frac{5}{3} + \frac{2 S}{3 N k_{B}}}}{m π {(- N b + V)}^{\frac{2}{3}}} - \frac{0.5 N^{2} a}{V} + \frac{250.0}{(0.00181880889615721 ⅇ^{100000.0 V} + 1) (ⅇ^{70 - S} + 1)}